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Finding the Fourth Proportional to 141,094.44, 194,713.92 and 77,431.68

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Solution

The fourth proportional to 141,094.44, 194,713.92 and 77,431.68 is: 106,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,094.44 : 194,713.92 = 77,431.68 : x
  2. Step 2: Convert to fraction form
    141,094.44/194,713.92 = 77,431.68/x
  3. Step 3: Cross multiply
    141,094.44x = 194,713.92 × 77,431.68
  4. Step 4: Simplify right side
    141,094.44x = 15,077,025,944.99
  5. Step 5: Solve for x
    x = 15,077,025,944.99/141,094.44
  6. Step 6: Final answer
    x = 106,857.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.